Greatest Common Factor of 7400 and 7405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7400, 7405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7400 and 7405 is 5.

GCF(7400,7405) = 5

GCF of 7400 and 7405

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7400 and 7405

GCF of 7400 and 7405 is 5

Prime Factorization of 7400


2 7400
2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 7400 are 2,5,37. Prime factorization of 7400 in exponential form is:

7400 = 23×52×371

Prime Factorization of 7405


5 7405
1481 1481
1

Prime factors of 7405 are 5,1481. Prime factorization of 7405 in exponential form is:

7405 = 51×14811

∴ So by taking common prime factors GCF of 7400 and 7405 is 5

Greatest Common Factor of 7400 and 7405 by matching factors method

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Greatest Common Factor

We found the factors and prime factorization of 7400 and 7405. The biggest common factor number is the GCF number.
So the greatest common factor 7400 and 7405 is 5.

Also check out the Least Common Multiple of 7400 and 7405

Properties of GCF 7400 and 7405

(i) The GCF of 7400 and 7405 is associative

GCF of 7400 and 7405 = GCF of 7405 and 7400

Related Greatest Common Factor of 7400

Related Greatest Common Factor of 7405

Frequently Asked Questions on GCF of 7400 and 7405

1. What is the GCF of 7400 and 7405?

Answer: GCF of 7400 and 7405 is 5.

2. What are the Factors of 7400?

Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.

3. What are the Factors of 7405?

Answer: Factors of 7405 are 1, 5, 1481, 7405. There are 4 integers that are factors of 7405. The greatest factor of 7405 is 7405.

4. How to Find the GCF of 7400 and 7405?

Answer:

Greatest Common Factor of 7400 and 7405 = 5

Step 1: Find the prime factorization of 7400

7400 = 2 x 2 x 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 7405

7405 = 5 x 1481

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7400 and 7405 is 5